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無限降下法
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Wikipedia definition
1. Infinite descent​In mathematics, a proof by infinite descent is a particular kind of proof by contradiction which relies on the facts that the natural numbers are well ordered and that there are only a finite number of them that are smaller than any given one. One typical application is to show that a given equation has no solutions. Assuming an example with a particular property exists, one shows that another exists that is in some sense 'smaller' as measured by a natural number.
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